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Ex 8.2, 2 (i) - Choose correct option -  2 tan 30 / 1 + tan^2 30 = (A) sin 60 (B) cos 60 (C) tan 60 (D) sin 30

Ex 8.2, 2 (i) - Chapter 8 Class 10 Introduction to Trignometry - Part 2

 

 

 

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Ex 8.2, 2 Choose the correct option and justify your choice : (i) "2 tan 30 " /"1 + tan2 30 " = sin 60 (B) cos 60 (C) tan 60 (D) sin 30 We know that , tan "30 " = 1/ 3 So, (2 tan 30 )/(1+ 2 30 ) = (2 (1/ 3))/(1 + (1/ 3)^2 ) = (2/ 3)/(1 + 1/3) = (2/ 3)/(4/3) = 2/ 3 3/4 = 2/ 3 ( 3 3)/4 = 3/2 Options are (A) sin 60 (B) cos 60 (C) tan 60 (D) sin 30 Since sin "60 " = 3/2 Hence, option (A) is correct

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.